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Finding the Fourth Proportional to 274,059.20, 410,781.60 and 116,260.80

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Solution

The fourth proportional to 274,059.20, 410,781.60 and 116,260.80 is: 174,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,059.20 : 410,781.60 = 116,260.80 : x
  2. Step 2: Convert to fraction form
    274,059.20/410,781.60 = 116,260.80/x
  3. Step 3: Cross multiply
    274,059.20x = 410,781.60 × 116,260.80
  4. Step 4: Simplify right side
    274,059.20x = 47,757,797,441.28
  5. Step 5: Solve for x
    x = 47,757,797,441.28/274,059.20
  6. Step 6: Final answer
    x = 174,260.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.